{
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   "cell_type": "markdown",
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   "source": [
    "> 作者: Nicolas Rougier, Mike Müller, Gaël Varoquaux\n",
    "\n",
    "> 原文: http://www.scipy-lectures.org/intro/matplotlib/index.html\n",
    "\n",
    "## 1.4.1 简介\n",
    "[Matplotlib](http://matplotlib.org/) 可能是Python唯一一个最广泛使用的二维图包。它同时提供了从Python中可视化数据非常的快速方式以及多种格式的出版质量图片。我们将在交互模式下研究Matplotlib，包含大多数的常用案例。\n",
    "\n",
    "### 1.4.1.1 IPython和matplotlib模式\n",
    "\n",
    "[IPython](http://ipython.org/)是强化版交互Python shell，有许多有趣的功能，包括：输入输出的命名、访问shell命令改进错误排除等。它位于Python中的科学计算工作流的核心，要让它与Matplotlib的结合使用：\n",
    "\n",
    "用命令行参数 `--matplotlib` 启动IPython，获得带有Matlab/Mathematica类似功能的交互Matplotlib session。\n",
    "\n",
    "在 Jupyter Notebook 中，在notebook的最前端，使用如下的魔法指令: `%matplotlib inline`\n",
    "\n",
    "### 1.4.1.2 pyplot\n",
    "\n",
    "*pyplot*提供了matplotlib面向对象的绘图库的程序接口。它的模型与Matlab™非常相近。因此，pylab中的绝大多数绘图命令Matlab™都有带有相似函数的类似实现。重要的命令会以交互例子来解释。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "run_control": {
     "frozen": false,
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.4.2 简单绘图\n",
    "\n",
    "在这个部分，我们将在同一个图像中绘制cosine和sine函数。从默认设置开始，我们将不断丰富图片，让它看起来更漂亮。\n",
    "\n",
    "第一步获得sine和cosine函数的数据："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true,
    "run_control": {
     "frozen": false,
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
    "C, S = np.cos(X), np.sin(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`X`现在是Numpy数组，范围是`-π`到`+π`之间（包含）的256个值。C是cosine（256个值），而S是sine（256个值）\n",
    "\n",
    "要运行例子，你可以在IPython的交互session中输入这些命令：\n",
    "\n",
    "```\n",
    "ipython --pylab\n",
    "```\n",
    "\n",
    "这会将我们带到IPython提示符：\n",
    "\n",
    "```\n",
    "IPython 2.3.1 -- An enhanced Interactive Python.\n",
    "?         -> Introduction and overview of IPython's features.\n",
    "%quickref -> Quick reference.\n",
    "help      -> Python's own help system.\n",
    "object?   -> Details about 'object', use 'object??' for extra details.\n",
    "Using matplotlib backend: MacOSX\n",
    "```\n",
    "\n",
    "你可以下载每个示例，然后用平常的Python运行，但是，你将没法动态的数据操作：\n",
    "\n",
    "```\n",
    "python exercice_1.py\n",
    "```\n",
    "\n",
    "通过点击对应的图片，你可以获得每一步的源码。\n",
    "\n",
    "[译者注] 我们将在 Jupyter Notebook 来交互式演示每一个例子\n",
    "\n",
    "\n",
    "### 1.4.2.1 用默认设置绘图\n",
    "\n",
    "---\n",
    "**提示**：文档\n",
    "\n",
    "* [plot教程](http://matplotlib.sourceforge.net/users/pyplot_tutorial.html)\n",
    "* [plot()命令](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.plot)\n",
    "\n",
    "---\n",
    "\n",
    "Matplotlib有一组默认设置，允许自定义所有的属性。你几乎可以控制在matplotlib中的所有属性：图片大小和dpi、线长度、颜色和样式、坐标轴、坐标轴和网格属性、文本和字体属性等等。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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G1olBq7Gf/6wWdNuCTXbOgazddbpaKNc9PJChcaG8//s+XTXYolk7Y7r1xI9c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\nzFyeQlGphYdHxpodintY/z7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cNbAtkwbase999DC44l1jyukf74CyOtJtbvVb8PsrxoI7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\nsBgkSQOLQZI0sBgkSQOLQZI0sBgkSYNPFpT8HZ35U9IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118f57240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# http://scipy-lectures.github.io/intro/matplotlib/auto_examples/plot_exercice_1.html\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
    "C, S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X, C)\n",
    "plt.plot(X, S)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.2.2 默认值示例\n",
    "\n",
    "---\n",
    "**提示**：文档\n",
    "\n",
    "* [自定义matplotlib](http://matplotlib.sourceforge.net/users/customizing.html)\n",
    "\n",
    "---\n",
    "\n",
    "在下面的脚本中，我们标示（备注）了影响绘图外观的所有图片设置。\n",
    "\n",
    "这些设置被显式的设置为默认值，但是现在你可以交互的实验这些值以便验证他们的效果（看一下下面的[线属性](http://scipy-lectures.github.io/intro/matplotlib/matplotlib.html#line-properties)和[线样式](http://scipy-lectures.github.io/intro/matplotlib/matplotlib.html#line-styles))。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dO8rmMDKTZsLsxNl2MYzzZ4MGcU8TaT2e7IHTN09jx5kd0lEMgcWEyApmzNBv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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b0a3dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# http://scipy-lectures.github.io/intro/matplotlib/auto_examples/plot_exercice_2.html\n",
    "\n",
    "# Create a figure of size 8x6 inches, 80 dots per inch\n",
    "plt.figure(figsize=(8, 6), dpi=80)\n",
    "\n",
    "# Create a new subplot from a grid of 1x1\n",
    "plt.subplot(1, 1, 1)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
    "C, S = np.cos(X), np.sin(X)\n",
    "\n",
    "# Plot cosine with a blue continuous line of width 1 (pixels)\n",
    "plt.plot(X, C, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n",
    "\n",
    "# Plot sine with a green continuous line of width 1 (pixels)\n",
    "plt.plot(X, S, color=\"green\", linewidth=1.0, linestyle=\"-\")\n",
    "\n",
    "# Set x limits\n",
    "plt.xlim(-4.0, 4.0)\n",
    "\n",
    "# Set x ticks\n",
    "plt.xticks(np.linspace(-4, 4, 9, endpoint=True))\n",
    "\n",
    "# Set y limits\n",
    "plt.ylim(-1.0, 1.0)\n",
    "\n",
    "# Set y ticks\n",
    "plt.yticks(np.linspace(-1, 1, 5, endpoint=True))\n",
    "\n",
    "# Save figure using 72 dots per inch\n",
    "# plt.savefig(\"exercice_2.png\", dpi=72)\n",
    "\n",
    "# Show result on screen\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.2.3 改变颜色和线宽度\n",
    "\n",
    "---\n",
    "**提示**：文档\n",
    "\n",
    "* [控制线属性](http://matplotlib.sourceforge.net/users/pyplot_tutorial.html#controlling-line-properties)\n",
    "* [线API](http://matplotlib.sourceforge.net/api/artist_api.html#matplotlib.lines.Line2D)\n",
    "\n",
    "---\n",
    "\n",
    "首先，我们想要cosine是蓝色，sine是红色，两者都是稍稍粗一点的线。我们也改变了一点图片的大小，让它更加水平。\n",
    "\n",
    "```python\n",
    "plt.figure(figsize=(10, 6), dpi=80)\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plt.plot(X, S, color=\"red\",  linewidth=2.5, linestyle=\"-\")\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8ecC+fRI3aCCNr2GkShXg3nsl3rYN+Ppru/m4UsptUtw67FcsTIj8ZP1688bp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\nxk/UX4ZTeQhy+wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b19a5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# http://scipy-lectures.github.io/intro/matplotlib/auto_examples/plot_exercice_3.html\n",
    "\n",
    "plt.figure(figsize=(8, 5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
    "C, S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
    "\n",
    "plt.xlim(-4.0, 4.0)\n",
    "plt.xticks(np.linspace(-4, 4, 9, endpoint=True))\n",
    "\n",
    "plt.ylim(-1.0, 1.0)\n",
    "plt.yticks(np.linspace(-1, 1, 5, endpoint=True))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.2.4 设置极值\n",
    "\n",
    "---\n",
    "**提示**：文档\n",
    "\n",
    "- [xlim()命令](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.xlim)\n",
    "- [ylim()命令](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.ylim)\n",
    "\n",
    "---\n",
    "\n",
    "当前的图片的极值限制太拥挤了，我们希望留一点空间以便清晰的看到所有的数据点。\n",
    "\n",
    "```python\n",
    "plt.xlim(X.min() * 1.1, X.max() * 1.1)\n",
    "plt.ylim(C.min() * 1.1, C.max() * 1.1)\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gTj7ZbTzHqU8fKFdOxq+8on2JAicpKXxTXLducjQxDmnSolQEbd0qbxCesWOd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\nnRix0SEB1gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b4396a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "# http://scipy-lectures.github.io/intro/matplotlib/auto_examples/plot_exercice_4.html\n",
    "\n",
    "plt.figure(figsize=(8, 5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
    "S = np.sin(X)\n",
    "C = np.cos(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
    "\n",
    "plt.xlim(X.min() * 1.1, X.max() * 1.1)\n",
    "plt.ylim(C.min() * 1.1, C.max() * 1.1)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.2.5 设置坐标轴刻度值\n",
    "\n",
    "**提示**：文档\n",
    "* [xticks()命令](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.xticks)\n",
    "* [yticks()命令](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.yticks)\n",
    "* [刻度容器](http://matplotlib.sourceforge.net/users/artists.html#axis-container)\n",
    "* [刻度位置和格式](http://matplotlib.sourceforge.net/api/ticker_api.html)\n",
    "\n",
    "现在的刻度不太理想，因为他们没有显示对于sine和cosine有意义的值（+/-π,+/-π/2）。我们将改变这些刻度，让他们只显示这些值。\n",
    "\n",
    "```python\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi])\n",
    "plt.yticks([-1, 0, +1])\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TLFCAD2aRIrajShPNbIicxfDhTDQAoFUrJRqe4zhA167ueODAqE40ACBHDmDw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\nFPuKIgBWsgEArGQDAFjJBgCwkg0AYBWMx9fsbmtSrQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b5d1128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# http://scipy-lectures.github.io/intro/matplotlib/auto_examples/plot_exercice_5.html\n",
    "\n",
    "plt.figure(figsize=(8, 5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
    "S = np.sin(X)\n",
    "C = np.cos(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
    "\n",
    "plt.xlim(X.min() * 1.1, X.max() * 1.1)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi])\n",
    "\n",
    "plt.ylim(C.min() * 1.1, C.max() * 1.1)\n",
    "plt.yticks([-1, 0, +1])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.2.6 设置刻度标签\n",
    "\n",
    "**提示**：文档\n",
    "* [操作文本](http://matplotlib.sourceforge.net/users/index_text.html)\n",
    "* [xticks()命令](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.xticks)\n",
    "* [yticks()命令](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.yticks)\n",
    "* [set_xticklabels()](http://matplotlib.sourceforge.net/api/axes_api.html?#matplotlib.axes.Axes.set_xticklabels)\n",
    "* [set_yticklabels()](http://matplotlib.sourceforge.net/api/axes_api.html?#matplotlib.axes.Axes.set_yticklabels)\n",
    "\n",
    "刻度现在放在了正确的位置，但是标签并不是显而易见。我们能想到3.14是π，但是最好让它更明确。\n",
    "\n",
    "当我们设置了刻度值，我们也可以在第二个参数中列出对应的标签。注意我们用latex以便更好的渲染标签。\n",
    "\n",
    "```python\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "          [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "plt.yticks([-1, 0, +1],\n",
    "          [r'$-1$', r'$0$', r'$+1$'])\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DTZ483mdppk/nPXNJM0o4RAz7/nueDQD4g+2jj9Q4NBRlzcqeK57usrNnJ7v00L8/8Mcf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\n938s7SY1x1Mo9wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b5e1cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(8, 5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
    "C = np.cos(X)\n",
    "S = np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
    "\n",
    "plt.xlim(X.min() * 1.1, X.max() * 1.1)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "          [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "plt.ylim(C.min() * 1.1, C.max() * 1.1)\n",
    "plt.yticks([-1, 0, +1],\n",
    "          [r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.2.7 移动脊柱\n",
    "\n",
    "**提示**：文档\n",
    "* [脊柱](http://matplotlib.sourceforge.net/api/spines_api.html#matplotlib.spines)\n",
    "* [坐标轴容器](http://matplotlib.sourceforge.net/users/artists.html#axis-container)\n",
    "* [转换教程](http://matplotlib.sourceforge.net/users/transforms_tutorial.html)\n",
    "\n",
    "脊柱是连接坐标轴刻度标记的线，记录了数据范围的边界。他们可以被放在任意的位置，到目前位置，他们被放在了坐标轴的四周。我们将改变他们，因为我们希望他们在中间。因为有四条（上下左右），我们通过设置颜色为None舍弃了顶部和右侧，并且我们将把底部和左侧的脊柱移动到数据空间坐标的零点。\n",
    "\n",
    "```python\n",
    "ax = plt.gca()  # gca stands for 'get current axis'\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AIUOAPHnUxaNYvXryPAakZD8LI1nQwIFGYaRvvwX+/VdtPG7Eo4xkSufPA6VK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\nMDkgIiIiB0wOiIiIyMH/AdY0sLM4y80MAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b6e1c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# http://scipy-lectures.github.io/intro/matplotlib/auto_examples/plot_exercice_7.html\n",
    "    \n",
    "plt.figure(figsize=(8,5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C = np.cos(X)\n",
    "S = np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
    "\n",
    "ax = plt.gca()\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "plt.xlim(X.min() * 1.1, X.max() * 1.1)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "          [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "plt.ylim(C.min() * 1.1, C.max() * 1.1)\n",
    "plt.yticks([-1, 0, +1],\n",
    "          [r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.2.8 添加图例\n",
    "\n",
    "**提示**：文档\n",
    "* [图例指南](http://matplotlib.sourceforge.net/users/legend_guide.html)\n",
    "* [legend()命令](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.legend)\n",
    "* [图例API](http://matplotlib.sourceforge.net/api/legend_api.html#matplotlib.legend.Legend)\n",
    "\n",
    "让我们在坐上角添加图例。这只需要在plot命里中添加关键词参数label（将被用于图例框）。\n",
    "\n",
    "```python\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n",
    "plt.plot(X, S, color=\"red\",  linewidth=2.5, linestyle=\"-\", label=\"sine\")\n",
    "\n",
    "plt.legend(loc='upper left')\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zoHVrjs+fl6poiZDkQHiV6dN5Qglgm9233tIbj0iBPn3MTYh9+vA23cN07my2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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b570748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# http://scipy-lectures.github.io/intro/matplotlib/auto_examples/plot_exercice_8.html\n",
    "\n",
    "plt.figure(figsize=(8,5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C = np.cos(X)\n",
    "S = np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\",  label=\"sine\")\n",
    "\n",
    "ax = plt.gca()\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "plt.xlim(X.min() * 1.1, X.max() * 1.1)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "          [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "plt.ylim(C.min() * 1.1, C.max() * 1.1)\n",
    "plt.yticks([-1, +1],\n",
    "          [r'$-1$', r'$+1$'])\n",
    "\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.2.9 标注一些点\n",
    "\n",
    "**提示**：文档\n",
    "* [注释坐标轴](http://matplotlib.sourceforge.net/users/annotations_guide.html)\n",
    "* [annotate()命令](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.annotate)\n",
    "\n",
    "让我们用annotate命令标注一些有趣的点。我们选取值2π/3，我们想要标注sine和cosine。首先我们在曲线上画出了一个垂直的散点标记线。然后，我们将用annotate命令显示带有箭头的文字。\n",
    "\n",
    "```python\n",
    "t = 2 * np.pi / 3\n",
    "plt.plot([t, t], [0, np.cos(t)], color='blue', linewidth=2.5, linestyle=\"--\")\n",
    "plt.scatter([t, ], [np.cos(t), ], 50, color='blue')\n",
    "\n",
    "plt.annotate(r'$cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$',\n",
    "             xy=(t, np.cos(t)), xycoords='data',\n",
    "             xytext=(-90, -50), textcoords='offset points', fontsize=16,\n",
    "             arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "plt.plot([t, t],[0, np.sin(t)], color='red', linewidth=2.5, linestyle=\"--\")\n",
    "plt.scatter([t, ],[np.sin(t), ], 50, color='red')\n",
    "\n",
    "plt.annotate(r'$sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n",
    "             xy=(t, np.sin(t)), xycoords='data',\n",
    "             xytext=(+10, +30), textcoords='offset points', fontsize=16,\n",
    "             arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uKrgUKCDXnDwLKN99V0tYBxlNHpRKoY8+khvIa9qMGVq1OFjlzCkNMD3tKD75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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b0222e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# http://scipy-lectures.github.io/intro/matplotlib/auto_examples/plot_exercice_9.html\n",
    "\n",
    "plt.figure(figsize=(8, 5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C = np.cos(X)\n",
    "S = np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\",  label=\"sine\")\n",
    "\n",
    "ax = plt.gca()\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "plt.xlim(X.min() * 1.1, X.max() * 1.1)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "          [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "plt.ylim(C.min() * 1.1, C.max() * 1.1)\n",
    "plt.yticks([-1, +1],\n",
    "          [r'$-1$', r'$+1$'])\n",
    "\n",
    "t = 2*np.pi/3\n",
    "plt.plot([t, t], [0, np.cos(t)],\n",
    "        color='blue', linewidth=1.5, linestyle=\"--\")\n",
    "plt.scatter([t, ], [np.cos(t), ], 50, color='blue')\n",
    "plt.annotate(r'$sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n",
    "            xy=(t, np.sin(t)), xycoords='data',\n",
    "            xytext=(+10, +30), textcoords='offset points', fontsize=16,\n",
    "            arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "plt.plot([t, t], [0, np.sin(t)],\n",
    "        color='red', linewidth=1.5, linestyle=\"--\")\n",
    "plt.scatter([t, ], [np.sin(t), ], 50, color='red')\n",
    "plt.annotate(r'$cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$', xy=(t, np.cos(t)),\n",
    "            xycoords='data', xytext=(-90, -50), textcoords='offset points',\n",
    "            fontsize=16,\n",
    "            arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.2.10 细节是魔鬼\n",
    "\n",
    "**提示**：文档\n",
    "* [Artists](http://matplotlib.sourceforge.net/api/artist_api.html)\n",
    "* [BBox](http://matplotlib.sourceforge.net/api/artist_api.html#matplotlib.text.Text.set_bbox)\n",
    "\n",
    "因为蓝色和红色的线，刻度标签很难看到。我们可以让他们更大一些，也可以调整他们的属性以便他们被处理为半透明的白色背景。这样我们就可以同时看到数据和标签。\n",
    "\n",
    "```python\n",
    "for label in ax.get_xticklabels() + ax.get_yticklabels():\n",
    "    label.set_fontsize(16)\n",
    "    label.set_bbox(dict(facecolor='white', edgecolor='None', alpha=0.65))\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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iHnPnyvE118h2Jq3uGQi6YFIpJ5w7J2+GvIlDx47u3JIZznr1sus9xMbK83X2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\nY8wknDwwxhhjzCScPDDGGGPMJP8Pvq9FwsiOBPMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b4842e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# http://scipy-lectures.github.io/intro/auto_examples/plot_exercice_10.html\n",
    "\n",
    "plt.figure(figsize=(8, 5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
    "C, S = np.cos(X), np.sin(X)\n",
    "\n",
    "ax = plt.gca()\n",
    "\n",
    "# set right and top color to none\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "\n",
    "# move bottom and left to coordinate 0\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data', 0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data', 0))\n",
    "\n",
    "# set tick to a semi-transparent white background\n",
    "for label in ax.get_xticklabels() + ax.get_yticklabels():\n",
    "    label.set_fontsize(16)\n",
    "    label.set_bbox(dict(facecolor='white', edgecolor='None', alpha=0.65 ))\n",
    "    \n",
    "\n",
    "# set x and y ticks value and the labels on the position\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "       [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "plt.yticks([-1, 0, +1],\n",
    "       [r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "# set x and y limits\n",
    "plt.xlim(X.min()*1.1, X.max()*1.1)\n",
    "plt.ylim(C.min()*1.1, C.max()*1.1)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n",
    "plt.plot(X, S, color=\"red\",  linewidth=2.5, linestyle=\"-\", label=\"sine\")\n",
    "\n",
    "# set legend\n",
    "plt.legend(loc='upper left', frameon=True, fancybox=True)\n",
    "\n",
    "# annotate\n",
    "t = 2*np.pi/3\n",
    "plt.plot([t,t],[0,np.cos(t)], color ='blue', linewidth=1.5, linestyle=\"--\")\n",
    "plt.scatter([t,],[np.cos(t),], 50, color ='blue')\n",
    "\n",
    "plt.annotate(r'$sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n",
    "            xy=(t, np.sin(t)), xycoords='data',\n",
    "            xytext=(+10, +30), textcoords='offset points', fontsize=16,\n",
    "            arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "plt.plot([t,t],[0,np.sin(t)], color ='red', linewidth=1.5, linestyle=\"--\")\n",
    "plt.scatter([t,],[np.sin(t),], 50, color ='red')\n",
    "\n",
    "plt.annotate(r'$cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$', xy=(t, np.cos(t)),\n",
    "            xycoords='data', xytext=(-90, -50), textcoords='offset points',\n",
    "            fontsize=16,\n",
    "            arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.4.3 图形、子图、轴和刻度\n",
    "\n",
    "在matplotlib中“**图形**”是用户界面中的整个窗口。在这个图形中可以有“**子图**”。\n",
    "\n",
    "到目前为止，我们已经使用图形和创建数轴。这对于快速绘图是非常方便的。使用图形、子图和轴我们可以控制显示。尽管子图将图表放在标准的网格中，轴可以在图形中放在任意位置。根据你的目的不同，二者都非常有用。我们也在没有显式的调用图形和子图时使用了他们。当我们调用plot时，matplotlib调用`gca()`来获得当前的坐标轴，相应的调用`gcf()`获得当前的图形。如果没有当前图形，那么将调用`figure()`去创建一个，严格来说是创建一个`subplot(111)。让我们来详细看一下。\n",
    "\n",
    "### 1.4.3.1 图形\n",
    "\n",
    "图形是在GUI中的窗口，标题是\"Figure #\"。图形的标号从1开始，而不是常规的Python方式从0开始。这明显是MATLAB-风格。这些参数决定图形的外观：\n",
    "\n",
    "参数|默认值|描述\n",
    "--------|-------|-----------\n",
    "num     |1      |图形编号\n",
    "figsize |figure.figsize|以英寸表示的图形大小（宽、高）\n",
    "dpi     |figure.dpi|分辨率以每英寸点数表示\n",
    "facecolor|figure.facecolor|背景色\n",
    "edgecolor|figure.edgecolor|背景边缘色\n",
    "frameon|True|是否绘制框架\n",
    "\n",
    "默认值可以在资源文件中指明，并在绝大数时间使用。只有图形数经常被改变。\n",
    "\n",
    "与其他对象类似，你可以用setp或者set_something方法设置图形属性。\n",
    "\n",
    "当你使用GUI工作时，你可以点击右上的X关闭图形。但是，你可以通过调用close用程序关闭图形。根据参数关闭不同内容（1）当前图形（没有参数），（2）特定图形（用图形编号或图形实例做参数），（3）所有图形（\"all\"作为参数）。\n",
    "\n",
    "```python\n",
    "pl.close(1)     # Closes figure 1\n",
    "```\n",
    "\n",
    "### 1.4.3.2 子图\n",
    "\n",
    "用子图你可以将图片放置在标准方格中。你需要指定行列数和图片数。 注意[gridspec](http://matplotlib.org/users/gridspec.html)命令相对更加高级。\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_subplot-horizontal.html\"><img alt=\"plot_subplot-horizontal_1.png\" src=\"http://scipy-lectures.github.io/_images/plot_subplot-horizontal_1.png\" style=\"width: 168.0px; height: 112.0px;\"></a><a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_subplot-vertical.html\"><img alt=\"plot_subplot-vertical_1.png\" src=\"http://scipy-lectures.github.io/_images/plot_subplot-vertical_1.png\" style=\"width: 168.0px; height: 112.0px;\"></a><a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_subplot-grid.html\"><img alt=\"plot_subplot-grid_1.png\" src=\"http://scipy-lectures.github.io/_images/plot_subplot-grid_1.png\" style=\"width: 168.0px; height: 112.0px;\"></a><a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_gridspec.html\"><img alt=\"plot_gridspec_1.png\" src=\"http://scipy-lectures.github.io/_images/plot_gridspec_1.png\" style=\"width: 168.0px; height: 112.0px;\"></a>\n",
    "\n",
    "\n",
    "### 1.4.3.3 轴\n",
    "\n",
    "轴与子图非常类似，不过允许图形放在图片的任意位置。因此，如果我们想要将一个小图形放在一个更大图形中，我们可以用轴。\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_axes.html\"><img alt=\"plot_axes_1.png\" src=\"http://scipy-lectures.github.io/_images/plot_axes_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a><a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_axes-2.html\"><img alt=\"plot_axes-2_1.png\" src=\"http://scipy-lectures.github.io/_images/plot_axes-2_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "### 1.4.3.4 刻度\n",
    "\n",
    "格式良好的刻度是准备好发布图片的必要部分。Matplotlib提供了一个完全可控的刻度系统。有刻度位置来指定刻度该出现在哪，还有刻度格式来给出你想要的刻度外观。主刻度和子刻度可以被独立放置和整理格式。之前子刻度默认是不显示的，即他们只有空列表，因为它是`NullLocator` (见下面)。\n",
    "\n",
    "#### 1.4.3.4.1 刻度位置\n",
    "\n",
    "刻度位置可以控制的位置。它的设置如下：\n",
    "\n",
    "```python\n",
    "ax = pl.gca()\n",
    "ax.xaxis.set_major_locator(eval(locator))\n",
    "```\n",
    "不同的需求有多种位置：\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_ticks.html\"><img alt=\"plot_ticks_1.png\" src=\"http://scipy-lectures.github.io/_images/plot_ticks_1.png\" style=\"width: 426.6px; height: 232.8px;\"></a>\n",
    "\n",
    "所有这些位置都可以从基础类[matplotlib.ticker.Locator](http://matplotlib.org/api/ticker_api.html#matplotlib.ticker.Locator)衍生出来。你可以从中衍生出你自己的位置。将日期处理为刻度特别困哪。因此，`matplotlib`提供了特殊的位置`matplotlib.dates`。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.4.4 其他类型的图形：例子与练习\n",
    "\n",
    "### 1.4.4.1 常规图形\n",
    "\n",
    "---\n",
    "**提示：**你可以使用[fill_between](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.fill_between)命令。\n",
    "\n",
    "---\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_plot_ex.html\"><img alt=\"plot_plot_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_plot_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "从下面的代码开始，试着重新生成这个图片，小心处理填充区域：\n",
    "\n",
    "```python\n",
    "n = 256\n",
    "X = np.linspace(-np.pi, np.pi, n, endpoint=True)\n",
    "Y = np.sin(2 * X)\n",
    "\n",
    "plt.plot(X, Y + 1, color='blue', alpha=1.00)\n",
    "plt.plot(X, Y - 1, color='blue', alpha=1.00)\n",
    "```\n",
    "\n",
    "答案如下:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tFgsQESHXTIMGsn7i6encWN1JXJwM+N2wQdatLlwAEhL+/WODgmQm4WuvSdIq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\nIsNh8iIiIsP5fyPXfw4UBieDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b4395f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# http://www.scipy-lectures.org/intro/matplotlib/auto_examples/plot_plot.html\n",
    "\n",
    "n = 256\n",
    "X = np.linspace(-np.pi, np.pi, n, endpoint=True)\n",
    "Y = np.sin(2 * X)\n",
    "\n",
    "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "\n",
    "plt.plot(X, Y + 1, color='blue', alpha=1.00)\n",
    "plt.fill_between(X, 1, Y + 1, color='blue', alpha=.25)\n",
    "\n",
    "plt.plot(X, Y - 1, color='blue', alpha=1.00)\n",
    "plt.fill_between(X, -1, Y - 1, (Y - 1) > -1, color='blue', alpha=.25)\n",
    "plt.fill_between(X, -1, Y - 1, (Y - 1) < -1, color='red',  alpha=.25)\n",
    "\n",
    "plt.xlim(-np.pi, np.pi)\n",
    "plt.xticks(())\n",
    "plt.ylim(-2.5, 2.5)\n",
    "plt.yticks(())\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.4.2 散点图\n",
    "\n",
    "---\n",
    "**提示：**颜色根据角度进行分配\n",
    "\n",
    "---\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_scatter_ex.html\"><img alt=\"plot_scatter_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_scatter_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "\n",
    "从下面的代码开始，试着重新生成这个图片，小心处理标记的大小颜色和透明度：\n",
    "\n",
    "```python\n",
    "n = 1024\n",
    "X = np.random.normal(0,1,n)\n",
    "Y = np.random.normal(0,1,n)\n",
    "\n",
    "plt.scatter(X,Y)\n",
    "```\n",
    "\n",
    "答案如下:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uHln0/lcjJwVwtngRS7Pa7rJvq5JcLA/znH1vFW2dUErx2tQJTuTPE9EdEkaU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bAAAg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1DRVEBgMpygWJZXkAYElmY3Rl4+M8DW5tCG7ECzUeL53dt4Yns388k0Q3MR3ukfodnvrnmP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\nMuiMb+kaAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b1a9da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# http://www.scipy-lectures.org/intro/matplotlib/auto_examples/plot_scatter.html\n",
    "\n",
    "n = 1024\n",
    "X = np.random.normal(0, 1, n)\n",
    "Y = np.random.normal(0, 1, n)\n",
    "T = np.arctan2(Y, X)\n",
    "\n",
    "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "plt.scatter(X, Y, s=75, c=T, alpha=.5)\n",
    "\n",
    "plt.xlim(-1.5, 1.5)\n",
    "plt.xticks(())\n",
    "plt.ylim(-1.5, 1.5)\n",
    "plt.yticks(())\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.4.3 柱状图\n",
    "\n",
    "---\n",
    "**提示：**你需要小心文本对齐\n",
    "\n",
    "---\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_bar_ex.html\"><img alt=\"plot_bar_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_bar_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "从下面的代码开始，试着重新生成这个图片，添加红柱的标签。\n",
    "\n",
    "```python\n",
    "n = 12\n",
    "X = np.arange(n)\n",
    "Y1 = (1 - X / float(n)) * np.random.uniform(0.5, 1.0, n)\n",
    "Y2 = (1 - X / float(n)) * np.random.uniform(0.5, 1.0, n)\n",
    "\n",
    "plt.bar(X, +Y1, facecolor='#9999ff', edgecolor='white')\n",
    "plt.bar(X, -Y2, facecolor='#ff9999', edgecolor='white')\n",
    "\n",
    "for x, y in zip(X, Y1):\n",
    "    plt.text(x + 0.4, y + 0.05, '%.2f' % y, ha='center', va='bottom')\n",
    "\n",
    "plt.ylim(-1.25, +1.25)\n",
    "```\n",
    "\n",
    "答案如下:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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06KOPqqioqNuE04SEBG9Qtbe399pa8kcgXVWXL1/WpUuXJCmg4AikxfHZZ59p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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b05bbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "n = 12\n",
    "X = np.arange(n)\n",
    "Y1 = (1 - X / float(n)) * np.random.uniform(0.5, 1.0, n)\n",
    "Y2 = (1 - X / float(n)) * np.random.uniform(0.5, 1.0, n)\n",
    "\n",
    "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "plt.bar(X, +Y1, facecolor='#9999ff', edgecolor='white')\n",
    "plt.bar(X, -Y2, facecolor='#ff9999', edgecolor='white')\n",
    "\n",
    "for x, y in zip(X, Y1):\n",
    "    plt.text(x + 0.4, y + 0.05, '%.2f' % y, ha='center', va= 'bottom')\n",
    "\n",
    "for x, y in zip(X, Y2):\n",
    "    plt.text(x + 0.4, -y - 0.05, '%.2f' % y, ha='center', va= 'top')\n",
    "\n",
    "plt.xlim(-.5, n)\n",
    "plt.xticks(())\n",
    "plt.ylim(-1.25, 1.25)\n",
    "plt.yticks(())\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.4.4 轮廓图\n",
    "\n",
    "---\n",
    "**提示：**你需要是使用[clabel](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.clabel)命令。\n",
    "\n",
    "---\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_contour_ex.html\"><img alt=\"plot_contour_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_contour_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "从下面的代码开始，试着重新生成这个图片，小心处理colormap (见下面的[Colormaps](http://scipy-lectures.github.io/intro/matplotlib/matplotlib.html#colormaps))。\n",
    "\n",
    "```python\n",
    "def f(x, y):\n",
    "    return (1 - x / 2 + x ** 5 + y ** 3) * np.exp(-x ** 2 -y ** 2)\n",
    "\n",
    "n = 256\n",
    "x = np.linspace(-3, 3, n)\n",
    "y = np.linspace(-3, 3, n)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "\n",
    "plt.contourf(X, Y, f(X, Y), 8, alpha=.75, cmap='jet')\n",
    "C = plt.contour(X, Y, f(X, Y), 8, colors='black', linewidth=.5)\n",
    "```\n",
    "\n",
    "答案如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uwjooJp0dS524YHLXqnI0tZi54tkEHngtmwvOteFw2mQuvtinS9e0JkmSuOWW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iAAAf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\nhJcQQhyF0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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b5d69e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def f(x,y):\n",
    "    return (1 - x / 2 + x**5 + y**3) * np.exp(-x**2 -y**2)\n",
    "\n",
    "n = 256\n",
    "x = np.linspace(-3, 3, n)\n",
    "y = np.linspace(-3, 3, n)\n",
    "X,Y = np.meshgrid(x, y)\n",
    "\n",
    "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "\n",
    "plt.contourf(X, Y, f(X, Y), 8, alpha=.75, cmap=plt.cm.hot)\n",
    "C = plt.contour(X, Y, f(X, Y), 8, colors='black', linewidth=.5)\n",
    "plt.clabel(C, inline=1, fontsize=10)\n",
    "\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.4.5 Imshow\n",
    "\n",
    "---\n",
    "**提示：**你需要小心处理在imshow命令中的图像*原点*并使用[colorbar](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.colorbar)\n",
    "\n",
    "---\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_imshow_ex.html\"><img alt=\"plot_imshow_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_imshow_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "从下面的代码开始，试着重新生成这个图片，小心处理colormap和图像插入以及原点。\n",
    "\n",
    "```python\n",
    "def f(x, y):\n",
    "    return (1 - x / 2 + x ** 5 + y ** 3) * np.exp(-x ** 2 - y ** 2)\n",
    "\n",
    "n = 10\n",
    "x = np.linspace(-3, 3, 4 * n)\n",
    "y = np.linspace(-3, 3, 3 * n)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "plt.imshow(f(X, Y))\n",
    "```\n",
    "\n",
    "答案如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/linyong/anaconda/envs/pydata/lib/python3.6/site-packages/ipykernel_launcher.py:8: DeprecationWarning: object of type <class 'float'> cannot be safely interpreted as an integer.\n",
      "  \n",
      "/Users/linyong/anaconda/envs/pydata/lib/python3.6/site-packages/ipykernel_launcher.py:9: DeprecationWarning: object of type <class 'float'> cannot be safely interpreted as an integer.\n",
      "  if __name__ == '__main__':\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b5c7a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def f(x, y):\n",
    "    return (1 - x / 2 + x ** 5 + y ** 3 ) * np.exp(-x ** 2 - y ** 2)\n",
    "\n",
    "n = 10\n",
    "x = np.linspace(-3, 3, 3.5 * n)\n",
    "y = np.linspace(-3, 3, 3.0 * n)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = f(X, Y)\n",
    "\n",
    "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "plt.imshow(Z, interpolation='nearest', cmap='bone', origin='lower')\n",
    "plt.colorbar(shrink=.92)\n",
    "\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.4.6 饼图\n",
    "\n",
    "---\n",
    "**提示：**你需要调整Z。\n",
    "\n",
    "---\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_pie_ex.html\"><img alt=\"plot_pie_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_pie_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "从下面的代码开始，试着重新生成这个图片，小心处理颜色和切片大小。\n",
    "\n",
    "```python\n",
    "Z = np.random.uniform(0, 1, 20)\n",
    "plt.pie(Z)\n",
    "```\n",
    "\n",
    "答案如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KfQj8q8zr5zc3NxuU7214TTqdXkx1W8mLgAMzmcxbSG3VblWMUQ6DW5fMRhKA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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b084470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "n = 20\n",
    "Z = np.ones(n)\n",
    "Z[-1] *= 2\n",
    "\n",
    "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "\n",
    "plt.pie(Z, explode=Z*.05, colors = ['%f' % (i/float(n)) for i in range(n)])\n",
    "plt.axis('equal')\n",
    "plt.xticks(())\n",
    "plt.yticks()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.4.7 梯度图\n",
    "\n",
    "---\n",
    "**提示：**你需要绘制两次箭头。\n",
    "\n",
    "---\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_quiver_ex.html\"><img alt=\"plot_quiver_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_quiver_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "从下面的代码开始，试着重新生成这个图片，小心处理颜色和方向。\n",
    "\n",
    "```python\n",
    "n = 8\n",
    "X, Y = np.mgrid[0:n, 0:n]\n",
    "plt.quiver(X, Y)\n",
    "```\n",
    "答案如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TppfRaCs+OpZzK/7C3b4kFVxS3q5z9c99TB0+hkKFCskZN1f0vrwAbG1tWbN8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\nongJgiAIqvN/uK5Zs9juBQ4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c0f9278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "n = 8\n",
    "X, Y = np.mgrid[0:n, 0:n]\n",
    "T = np.arctan2(Y - n / 2., X - n/2.)\n",
    "R = 10 + np.sqrt((Y - n / 2.0) ** 2 + (X - n / 2.0) ** 2)\n",
    "U, V = R * np.cos(T), R * np.sin(T)\n",
    "\n",
    "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "plt.quiver(X, Y, U, V, R, alpha=.5)\n",
    "plt.quiver(X, Y, U, V, edgecolor='k', facecolor='None', linewidth=.5)\n",
    "\n",
    "plt.xlim(-1, n)\n",
    "plt.xticks(())\n",
    "plt.ylim(-1, n)\n",
    "plt.yticks(())\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.4.8 网格\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_grid_ex.html\"><img alt=\"plot_grid_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_grid_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "从下面的代码开始，试着重新生成这个图片，小心处理线的样式。\n",
    "\n",
    "```python\n",
    "axes = plt.gca()\n",
    "axes.set_xlim(0, 4)\n",
    "axes.set_ylim(0, 3)\n",
    "axes.set_xticklabels([])\n",
    "axes.set_yticklabels([])\n",
    "```\n",
    "\n",
    "答案如下:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAa8AAAEmCAYAAADV1B8RAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c19f2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "ax = plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "\n",
    "ax.set_xlim(0,4)\n",
    "ax.set_ylim(0,3)\n",
    "ax.xaxis.set_major_locator(plt.MultipleLocator(1.0))\n",
    "ax.xaxis.set_minor_locator(plt.MultipleLocator(0.1))\n",
    "ax.yaxis.set_major_locator(plt.MultipleLocator(1.0))\n",
    "ax.yaxis.set_minor_locator(plt.MultipleLocator(0.1))\n",
    "ax.grid(which='major', axis='x', linewidth=0.75, linestyle='-', color='0.75')\n",
    "ax.grid(which='minor', axis='x', linewidth=0.25, linestyle='-', color='0.75')\n",
    "ax.grid(which='major', axis='y', linewidth=0.75, linestyle='-', color='0.75')\n",
    "ax.grid(which='minor', axis='y', linewidth=0.25, linestyle='-', color='0.75')\n",
    "ax.set_xticklabels([])\n",
    "ax.set_yticklabels([])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.4.9 多图\n",
    "\n",
    "---\n",
    "**提示：**你可以用不同的分割来使用多个子图。\n",
    "\n",
    "---\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_multiplot_ex.html\"><img alt=\"plot_multiplot_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_multiplot_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "```python\n",
    "pl.subplot(2, 2, 1)\n",
    "pl.subplot(2, 2, 3)\n",
    "pl.subplot(2, 2, 4)\n",
    "```\n",
    "答案如下:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAa8AAAEmCAYAAADV1B8RAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYq1T4dXshGEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c0f1630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure()\n",
    "fig.subplots_adjust(bottom=0.025, left=0.025, top = 0.975, right=0.975)\n",
    "\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.xticks(()), plt.yticks(())\n",
    "\n",
    "plt.subplot(2, 3, 4)\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "\n",
    "plt.subplot(2, 3, 5)\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "\n",
    "plt.subplot(2, 3, 6)\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.4.10 极坐标系\n",
    "\n",
    "---\n",
    "**提示：**你只需要修改`axes`行。\n",
    "\n",
    "---\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_polar_ex.html\"><img alt=\"plot_polar_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_polar_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    " \n",
    "从下面的代码开始，试着重新生成这个图片。\n",
    "\n",
    "```python\n",
    "plt.axes([0, 0, 1, 1])\n",
    "\n",
    "N = 20\n",
    "theta = np.arange(0., 2 * np.pi, 2 * np.pi / N)\n",
    "radii = 10 * np.random.rand(N)\n",
    "width = np.pi / 4 * np.random.rand(N)\n",
    "bars = plt.bar(theta, radii, width=width, bottom=0.0)\n",
    "\n",
    "for r, bar in zip(radii, bars):\n",
    "    bar.set_facecolor(cm.jet(r / 10.))\n",
    "    bar.set_alpha(0.5)\n",
    "```\n",
    "答案如下:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gHAxy8V/+Ba89NcHMKAtZUNm33caoRsPOnTtvmZHloVAIh8PB5OQkU1NTeDwe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0eni5WXl4NhGIyPj8ftdVbyTcXn81FfX4+cnBx0dnbGZaLmNRGvA/J/CEjrFvf4QAAYSep0izBU\nEtpXrmRkMPx+0wSfz4fOzk4oFArU19cvOdJPlECNjY2BZVmUl5dHf3b48OHQwYMH+81m8764vVAc\nSUtxIoQwFotl50MPPTQ1e+54XV0dLl26BKt15SM54hFCR1yMq6urcfLkyfjNJJ/7xRZ/bD58AQgl\nfz5WwqcSzEUoGH6/aYDFYsHJkydRXV2NdevWLTvdj7dAWa1W6HQ61NXVRdfU19eHffv26SwWy+2E\nkMSOq1gmaSlOAEAIcZjN5r/ZtWuXZXo63OrB5/PR2NiI/v7+FTm3xDu3LygowObNm3Hx4kVcuHAh\nJWOHY0hRqkNm/ZlUUugKDIT3ly5cuIChoSFs3rw5LhMs4yVQXq8X/f39aGxsjEZxFosFu3fvtpjN\n5r8hhKTW730e0lacAIAQMmgymX64c+dOW2RSplQqRX19Pbq7u5c1PTNRm44SiQQtLS3RXqVU2F4B\nADxuYDJFkx2oBI7pnY+JkfD7TgFerxcdHR0ghGDz5s1xnfm9UoEKBoPo7u5GfX19tHiYpml8+9vf\ntplMpvsIIXH0R4s/aS1OAOD3+z8aHx//H3v37o0eAeXm5qKqqgrd3d1gl+BnlujTkIjlVXV1Nbq6\nunDp0qXkR1FJmkAwF0mZSjDnCxNg8FySX5Lg0qVL6OrqQnV1dYyFUjxZrkCxLIvu7m5UVVXF1OTt\n3bvXOTY29pLf7z8S98XGmbQXJwCYnp7+5ccff/zFgQMHotP5CwsLoVar0dvbuygBSGYlbn5+Plpb\nW2GxWNDT0wO/P7GmAjGkOMVJmPvKQiQxlfX7/ejp6YnOIk/0dM2lChQhBL29vVCr1THFy6+88or/\nyJEjx6xW6z8lcr3xIiPEiRBCzGbz95599tnRY8eORUOliooKCIVCDAzMb3eUihYBoVCITZs2Ye3a\ntejs7ExOFGWzAsbUONkAKdoQj2CcCr//BEIIweTkJDo7O7F27Vps2rQpaTOjliJQAwMDEAqFMVM9\njh49yj733HOjZrP5+8nynVspGSFOAEAI8Vsslh179uwxjY19M272xhtvhM/nw9DQ3LZBqWyuBACN\nRoMtW7bAZrPh5MmTcLsTuDeS6o3hBJuvLEgC37/b7cbJkydht9uxZcuWxHUHzMNiBGpoaOiqftSx\nsTHs2bPHZLFY/poQksQwfmVkjDgBACFEbzAY7mhvb7dGPuQURaGhoQE2mw0TE7GW1akWpghCoRB1\ndXXYsGEDTp06hYGBAYTiaBAJ4PKEyNSKE5DCtA4Iv/84BwWhUAjnz5/HqVOnsGHDBtTV1aV0wuZ8\nAjU+Pg6bzYaGhobo/pfb7UZ7e7vVaDTeQQgxpGLNyyWjxAkACCHdJpPp0fb2dntkZjaPx0NjYyN0\nOh10urCRQLoI02zy8vKwZcsWiMViHD9+PL6pnlEP2BOb1ixEynMFuzX8e4gDkQ3v48ePQyKRoK2t\nLaayOpXMJVA6nQ56vR6NjY1RS3W/34/29na70Wh8NJlOvfEi7XrrFkt+fv4/1NfX/+ORI0cUkfaA\nYDCIrq4uqFQq6HS6tBKmK6FpGoODg7Db7aitrV15bcznR4DTf4nP4pZJf0Exit025PlTVEYBAJtu\nAba3r+gppqencf78eeTm5mLDhg2Lbj9JNpEv4OLiYpjNZjQ3N0ejOpqm0d7ebu/t7f3vNpvt5RQv\ndVlkXOQUwWq1/ktvb++v7rjjDkckRRIKhaipqcHg4CCKi4vTVpiAcH/exo0bsWnTJoyNjaGzsxM2\n2zItlVgWuJjco/S5SPmeEwAMng3/PpaBzWZDZ2cnxsbGsGnTJmzcuDFthQkIR1DFxcUYHBxETU1N\nVJhCoRB2797t6O/v/1WmChOQweIEAFardX9PT88rd999t4NhGLhcLvT19aGlpQVmszma4qUza9as\nQVNTE2prazE0NBTddF0SE6MpK0KMJYWndRE8bmByaf58kcOKoaEh1NbWXtO3MN3Q6XQwm81oaWlB\nX18fXC4XGIbBXXfd5fz6669fnp6e/udUr3ElZGxaNxuVSvXCtm3bHnjggQeympqakJ2dHU3xioqK\nUFZWluolLhqHw4GLFy8iGAyisrISSqVy4eK+I38AzvclZ4Hz0KtcizLXNBSBBDZBL4baOmDn3877\nkIhTzfDwMIRCIaqqqqBQKJK0wJUzPj4OvV6PpqYmCIVCuFwudHd349e//vXM0aNH/81isfy3VK9x\npawKcaIoiiosLPxfbW1t9x46dCgr0kPEMAx6enqQl5eHysrKBZ4lvZiZmcHIyAicTifKyspQVFQE\ngWCOwaXBIPCvLwDBOBowLJPTyrVY55yGgk6xOAlFwIM/BeY4VQuFQpiamsL4+DhycnKwfv36jIiS\nZjM0NASbzRbTL8cwDH7wgx/MnDhx4m2DwbAvU2qZ5mNViBMQFiilUvmr1tbWn7z33ns5kQ8yy7I4\nffo0pFJpwloMEonf78fExAT0ej1UKhVKS0tjP0wXzgIfHU7dAmdxWlWCcocFOakWJwC4/S6g+pta\nH7fbjYmJCZjNZmi1WpSVlUEsFqdwgUuHEIKBgQH4fD40NDRET+VCoRDuuusuZ0dHx2sWi+Xx1SBM\nwCoSpwhKpfLZpqamRz744ANFZIOQEIKzZ88iGAyivr4++p+aSbAsC6PRiImJCTAMg5KSEmi1Wgg+\n/B0wmh79m6dUJahwmJFDp0GdX8UGhP7j3dDr9ZicnASfz0dpaSk0Gk3G/v/39vZCKBTixhtvjH7J\n0jSNO+64w9HT0/OyxWL5xxQvM66sOnECAKVS+URdXd1PP/roo9zZ344jIyMwmUzRPD1T8fl8mJyc\nhGFqCmsMkyiasUPlcYGf4qOyU6oSrHeYkZ1CcWJAwSzPxlRWLtyFJSgsKkJJSUnG+dvNJjJdQK1W\nx7Sk+P1+3H777Y6+vr7nM33zey5WpTgB4Tqo2traZ44cOZI7Ow1a7MD5TICc7oLzq6OYWpMLsywb\nWbQPGo8Taq8LwmUep6+Er1WlqLSbkB1MrjgFeXyYZFkwynMwI5JC5XWhaMaOnLa/AlXflNS1xBuv\n1xudLjC7ifdy5bf9/PnzGVvHtBCrVpwAQKFQ3KdWq1/805/+lD/7xC5i1XPTTTclvKM8obz772Fv\nOoTLi5wiKYzyHJjl2eCzLJS+GSi9LigCvqQc8X+tLkWVzYisYGLH5hIADrEUFlk2LNIsMDweVB4X\nCj1OZNOz3mtRSdjbLkOxWq3o7++/yopsbGws0pLyqNPp/N8pXGJCWdXiBAAURTVpNJoPfvvb36q3\nbdsW3Wzw+Xzo6elBcXFxyv3ql4XTAbz+L9e8288XwCLNgkWWBadYBlkwgDy/B/l+D3L83oSkgD3q\nMlTbDLHOvHGAAQWnRAarRA6bRA6vUIycgBdK7wyUvhlImHn6FP/uH4CczCkRiDA2NgadTofGxsaY\nlPTo0aPsnj17TJd75TKuJWUprHpxAgCKogqVSuVnTz/9dPkjjzwSHVXIMAz6+vrA4/GwcePGpNue\nr4i/HAdO/HlRD43YfFula2CTyOEUhy/2nIAPOQEfsmkfsmg/ROzKRkl3q8tQY9NjzQrKGmgeHzMi\nCVwiKZxiacxa8/we5PvcS7NN33Ib8B/alr2eZMMwDM6cOQOWZVFXVxdzTb7yyiv+5557bsRisezI\ntCbe5XBdiBMAUBQlUalU7+7cuXPbwYMHc2af5I2OjkZ84hNq3Bk3CAHeehWwLt9QgaEouERSOMRS\nuERSuEUS0Hw+hCwLWTAAWYiGNEhDFqIhZkIQh0IQsaF5RaFbU4baaT3kobnFiQCgeQIEBAIE+AJ4\nBSL4hCJ4BSJ4hWIEeTyIGAZraD+yaR8Ul4WTv5JrNF8F3Pfg4s0hUojH48GpU6eg1Wpj/BBpmsbe\nvXudR44cOWo2m3+QSWNPVsJ1I05AuBYqPz//yXXr1j368ccf5ymVyuh9NpsNfX19qK6uTor1+Yow\nG4H/828JeeogjwevQAzvZdHwCYQI8IUICASgebFFoHzCgkcIeISAAoFDLEMW7QePELAUBZaiwFzh\nsydiw0InZoKQhoKQhWjIgjRkoUDiNvH/098DquTPX1oKBoMBg4ODqKuri9lfslgs2Llzp318fPxF\nq9X6T6ulhmkxXFfiFEEmk31bqVS++eGHHypvuumm6M9pmsbp06chl8tRU1OTvmneF58APR0pXQJB\nOPpiKR4IRYEF0KsqwQabAfJQEBQh4BEWfJKyyeLf0NQKbN2R6lXMCcMwGBgYgMfjQUNDQ0yjcX9/\nP3bt2mUxmUz3ZcLM73iTedVoccDr9X48OTnZtmPHjonDhw9Hd1NFIhGam5shlUpx4sSJhLiurhhC\nwlXhKYYCICAEIpaBmAlByoTAIwRSJgQxE4KIZSBIB2ECgIH4D6GLBy6XCydOnIBUKkVzc3OMMB0+\nfDi0Y8eO8cnJyS3XozAB16k4AWHbKbPZXL9v377up556yhNxcaEoChUVFWhoaEBvby+Gh4dT70M3\nm0vjgDsNRRMI7+uk0a8qitsF6CYWflySIIRgeHgYvb29aGhoQEVFRXR/iWVZ/PznP3c/9NBDXWaz\nuSHd7ZsSyXUrTkDUuLPt4MGDb2/fvt2u138zRTE7Oxutra0IBALo6OiAx+NJ4UpnkWQLpKVAkOIx\nvfORBtEmEN707ujoQCAQQGtra8zMMb1ej+3bt9tff/31dywWy9Z0NrxMBtflntNciESiHXl5eW/u\n37+/4P777xfNbhC22Ww4c+YMioqKYr7lUkIwGO6lu3AWGBsC5qvxSTKdheVoME/OX3eUTPgCYF1l\nuAG4vGrOKQXJghCCkZERTE1NYePGjTEjfwkheOONN+gnn3xy2maz3U/T9KcpW2gawYnTLCiKylar\n1a/V1NR865133snVarXR+xiGwcWLFzE9PY26urr0mLJJ02G32+ELYaHypXA8LoDOwgpsMk1AzKZQ\nnKSysCCtrwZKK4A0mGQZGYJYUFCAqqqqmIMWvV6PPXv22C9cuPCJyWTaSwhJ05w9+XDiNAfzRVFO\npxNnzpyBQqHAhg0b0qeBmGXDw/3Hh8N25AbdssfVLpcObQUajeMrLuZcEjweUFgMlJQDZesBjTb8\nszQgGAxicHAQDocDGzduRE5OTvQ+LlpaGE6crsF8UVTEXHF0dBSVlZUoKipKvzlRNA3oL4U3gqcm\nw6aToWBCX/Ir7Xo0GccSK04CIaApCvfNFZcC2rVpER3NhhCCqakpDA0Noby8HCUlJTHXBxctLQ5O\nnBZgviiKpmkMDAzA7XajtrY2pngu7WBZYNoMmPThCGvaBFhMcZ2g+ZV2PZqNYxDGS5yEIkCpBgrU\n4YhIrQUKVGkTGc2F3W7H+fPnsWbNGtTU1MSUB3DR0tLgxGkRzBdFAeE9hfPnz0MgEKC2tjZzRrEQ\nAsy4wm0wtmnAYQNcDsBpB1zOJQvXV9r1aDaMQkiWkE4KRUB2DpCTC2QrAEUekFcA5CuBrOyMaDsB\nwqdwEbPU2traq/Yk9Xo97rnnHvvAwAAXLS0STpyWgEgk2pGfn//GL37xC+WPf/xj0ZUV5GazGQMD\nA8jPz0dlZWXGjYG9ikAA8MyEHU18XsDvAwL+8M/pABAKhU8LGQZgWZwgQtyCIAR8HsDnh0/LBAJA\nJAbEYkAsASTS8Ka1fA0gzwr/PIMJBAIYGhqC1WpFTU0NVCpVzP0Mw+A3v/kN/cwzz3DR0hLhxGmJ\nUBSVrVKp/jkrK+vuF198MW/37t282aleZL9heHgYSqUSlZWVae19Fk+OHz+OzZs3z23EsMoIBAIY\nHh6GxWLB+vXrr9p3JITggw8+YB977DHbzMzMe2az+WdctLQ0OHFaJhRFFWs0mpdUKtX2AwcOFLS1\nxY7lYFkWOp0Oo6OjUKlUqKioyPxIagGOHz+OlpaW9O1JjAOBQAAjIyMwm80oLy9HcXHxVTPJv/zy\nSzz88MNWi8XyudFo/C+EkKkULTej4cRphVAUVa3RaF6trKy86cCBA/mzG4mBWA2rK3EAAAe7SURB\nVJHKzc3F+vXrM2MsyzL48ssvsWXLlow0EFgIj8eD4eFh2O32a4pSf38/Hn74YevQ0FCf0Wh8iBAy\nmKLlrgo4cYoTFEU1qdXqX2/evLnspZdeyr1yuiYhBEajESMjI5BIJCgvL4+pEl4NfPHFF2hra1s1\n4kQIgd1ux+joKPx+PyoqKqDRaK4qGxkbG8Ojjz5q7+zsHDeZTA+s9gmVyYITpzhCURTF4/F2KJXK\nA7t27VL98pe/zLlyg5QQApvNhrGxMfh8PpSWlqKoqGhVpEJffPEFtm7dmn41X0uEYRhMTU1hYmIC\nUqkU69atm3PWvMlkwlNPPeX88MMPzRaLZR/Lsp9dT/OWEg0nTgmAoiieVCr9flZW1vM/+tGPcn/2\ns5/JZ1cHR/D5fJiYmIDBYIBKpUJJSQmysrJSsOL4cOzYMdx6660ZK04zMzOYnJyE2WxGYWEhSktL\n57SUcjqd2L9/v/vNN9+0u1yux30+3/8lZCn1ExyLgROnBEJRlDAnJ+dBiUTy029961vyxx57LPfK\nPSngG8PMyclJBIPBqGFm2rTGLJJjx45h27ZtqV7GkggGg1HjTaFQiJKSkmsab/b39+OFF16wf/rp\npx6/3/+C0+n8V0JIYsvur2M4cUoCFEXxAPy1Vqt9pqCgoOrxxx/P++53v8uf6/TO5/Ph0qVL0Ov1\nkMlkKC4uhlqtzoi0L1PEiWEYmEwm6HQ6eL1eaLVarF27ds4oKRAI4PDhw8zzzz9vt1qtg3q9/lkA\nn3GRUuLhxCnJUBRVqlQqH+Xz+d+755575I888sia0tLSqx5HCMHMzAx0Oh1MJhOys7Oh0WigUqnS\nNqJKZ3EKBoMwm80wGo1wuVxQq9UoLi5GVlbWnGnoxMQEXn755ZlDhw55WZZ912w2v0QImUzB0q9b\nOHFKERRFicVi8V15eXlPVlVVqZ544omCHTt2zJlOEELgcDhgNBphNpshEomg0WigVqvTqlUm3cTJ\n6/XCZDLBaDSCpmmoVCpoNBooFIo5BYllWXzyySfYv3//9MWLF012u31/IBA4TAhJrEsox5xw4pQG\nUBR1k0ajeUIkEt324IMPZv3kJz+RzOdE7PV6o0Ll9/uRm5sLpVKJgoKClFajp1qcaJrG9PQ0LBYL\n7HY7JBJJVJDmE3Gr1YqDBw/6X331VXcwGPzMaDTuJ4T0J3HpHHPAiVMaQVFUdnZ29o9lMtnDWq02\n695778258847RfM5ErMsC5vNBovFgunpaTAMg9zcXOTl5SEvLw8ymSxpp2fJFCdCCLxeL2w2G2w2\nG+x2O/h8PgoKCqBUKpGXlzdvvdXY2Bjef/99+u2333bq9foZr9d7wOVy/YZrMUkfOHFKUyiKWiuT\nye5UKBT3SSSSku985zuSu+++O6uxsXHeDx3DMHA4HNEPrdfrhVgsRk5ODhQKBXJyciCXyxMiWIkS\nJ5Zl4fV64XQ64XA44HQ6EQgEIJPJoiKsUCjmPTRgWRbd3d1477333H/4wx98gUBgwuFwvOXxeN4n\nhOjivmiOFcOJUwZAUVQWj8fbodVqf8gwTPOtt94q2LNnT95tt922qD0nv98f88H2esPjfOVyOdas\nWQO5XA6ZTAaZTAaJRLLsCu+ViBPLsvD7/fB6vfB6vfB4PHC73VFjCZlMFiOwEolkgWcMp79//vOf\ncejQIduxY8dCfD6/y2AwvMGy7KeEkJllLZQjaXDilGFQFMUHsFmtVt9DUdTtVVVVknvvvTe3vb1d\nUFxcvOiIKBKNzMzMwOPxwOfzwev1wu/3gxACHo8HsVgMsVgMkUgEsVgMgUAQc+Pz+aAoChRFgcfj\noaurC83NzWBZFoQQEELAMAxCoVDMLRAIgKZpBAIBBAIBsCwLiqIgkUggk8kglUohl8uRlZUFmUy2\naLEkhECn0+GPf/xj6O2337ZfvHjRTwj5fyaT6R0AJwkhSZwfzLFSOHHKcCiKqlIoFHfJ5fK/ZVl2\nbWlpKdXW1iZtaWnJuvnmm7EUwZoNwzAxAhIIBK4SGZZlY4TIZDJBrVbHCBaPx7tK1CKiFxG+5dRw\nRYTo66+/RkdHx8zx48d9ExMThM/nT7rd7vcdDsfh69nzbTXAidMqggqrkBbAzUqlcqtYLN7KMExJ\nSUkJ1dbWJm1tbV2RYC1EovacIkLU09MTFaLJyUnC5/MnA4HAlxaL5UsAXwPQc71tqwdOnFY58wlW\nc3OzuLy8XF5UVCTQarUoLCxEYWHhnJXSi2El4uTz+WAwGGAwGKDX6zE1NRUaHR31dHV1BTghuj7h\nxOk6ZJZg3QhAm5eXVy6TycopiioJhUIaiqJkAoFAmJ+fT4qLi6mysjJRWVmZrLi4WFhYWAiZTHZV\nqiYQCKJ7Tlemf6FQCF6vFwaDATqdLjg+Pu4dHx+ndTodsVqtVDAYDALwCgQCIyFk0uv1jtpstlEA\negBnwQnRdQknThxzclnAchEWsUIAWoVCsU4ul5fz+Xw5AOGsm4AQIhSJRDk0TTspigoCCAEIRm4M\nw3g8Hs+ow+EYQ1h0DJf/tnPCwzEXnDhxcHCkJatjZCEHB8eqgxMnDg6OtIQTJw4OjrSEEycODo60\nhBMnDg6OtIQTJw4OjrSEEycODo60hBMnDg6OtIQTJw4OjrTk/wM9NPiIaa0QewAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b3fe390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "ax = plt.axes([0.025, 0.025, 0.95, 0.95], polar=True)\n",
    "\n",
    "N = 20\n",
    "theta = np.arange(0.0, 2 * np.pi, 2 * np.pi / N)\n",
    "radii = 10 * np.random.rand(N)\n",
    "width = np.pi / 4 * np.random.rand(N)\n",
    "bars = plt.bar(theta, radii, width=width, bottom=0.0)\n",
    "\n",
    "for r,bar in zip(radii, bars):\n",
    "    bar.set_facecolor(plt.cm.jet(r/10.))\n",
    "    bar.set_alpha(0.5)\n",
    "\n",
    "ax.set_xticklabels([])\n",
    "ax.set_yticklabels([])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.4.11 3D绘图\n",
    "\n",
    "---\n",
    "**提示：**你需要使用[contourf](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.contourf)\n",
    "\n",
    "---\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_plot3d_ex.html\"><img alt=\"plot_plot3d_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_plot3d_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "从下面的代码开始，试着重新生成这个图片。\n",
    "\n",
    "```python\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "X = np.arange(-4, 4, 0.25)\n",
    "Y = np.arange(-4, 4, 0.25)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "R = np.sqrt(X**2 + Y**2)\n",
    "Z = np.sin(R)\n",
    "\n",
    "ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap='hot')\n",
    "```\n",
    "\n",
    "**更多请见**：[用Mayavi 3D绘图](http://scipy-lectures.github.io/packages/3d_plotting/index.html#mayavi-label)\n",
    "\n",
    "答案如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MT0+jKApdXV2Mjo7umxDSTuwRXy1iaNKoS0arIsXHGZfLRTAYJBgMWo+VNr/b+/m8Xi/J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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c412e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "X = np.arange(-4, 4, 0.25)\n",
    "Y = np.arange(-4, 4, 0.25)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "R = np.sqrt(X ** 2 + Y ** 2)\n",
    "Z = np.sin(R)\n",
    "\n",
    "ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.hot)\n",
    "ax.contourf(X, Y, Z, zdir='z', offset=-2, cmap=plt.cm.hot)\n",
    "ax.set_zlim(-2, 2)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.4.12 文本\n",
    "\n",
    "---\n",
    "**提示：**看一下[matplotlib标识](http://matplotlib.org/examples/api/logo2.html)\n",
    "\n",
    "---\n",
    "\n",
    "<a class=\"reference external image-reference\" href=\"http://scipy-lectures.github.io/intro/auto_examples/plot_text_ex.html\"><img alt=\"plot_text_ex_1.png\" class=\"align-right\" src=\"http://scipy-lectures.github.io/_images/plot_text_ex_1.png\" style=\"width: 280.0px; height: 210.0px;\"></a>\n",
    "\n",
    "试着从头开始做这个事情！\n",
    "\n",
    "答案如下:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3G9NOL0DR3ftSfOPxtT0TzG3Xgz62JdaWdy4PcnXEgs0TQCmXsamhii8f2b6k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\nqfZQdyrTg0kiMy+ZmOnN0z02iRGDmW1F7vL68PMD5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q2ZEgn4KMpIQe+4EUevdeEz99ZG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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c1bde48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "eqs = []\n",
    "eqs.append((r\"$W^{3\\beta}_{\\delta_1 \\rho_1 \\sigma_2} = U^{3\\beta}_{\\delta_1 \\rho_1} + \\frac{1}{8 \\pi 2} \\int^{\\alpha_2}_{\\alpha_2} d \\alpha^\\prime_2 \\left[\\frac{ U^{2\\beta}_{\\delta_1 \\rho_1} - \\alpha^\\prime_2U^{1\\beta}_{\\rho_1 \\sigma_2} }{U^{0\\beta}_{\\rho_1 \\sigma_2}}\\right]$\"))\n",
    "eqs.append((r\"$\\frac{d\\rho}{d t} + \\rho \\vec{v}\\cdot\\nabla\\vec{v} = -\\nabla p + \\mu\\nabla^2 \\vec{v} + \\rho \\vec{g}$\"))\n",
    "eqs.append((r\"$\\int_{-\\infty}^\\infty e^{-x^2}dx=\\sqrt{\\pi}$\"))\n",
    "eqs.append((r\"$E = mc^2 = \\sqrt{{m_0}^2c^4 + p^2c^2}$\"))\n",
    "eqs.append((r\"$F_G = G\\frac{m_1m_2}{r^2}$\"))\n",
    "\n",
    "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
    "\n",
    "for i in range(24):\n",
    "    index = np.random.randint(0, len(eqs))\n",
    "    eq = eqs[index]\n",
    "    size = np.random.uniform(12, 32)\n",
    "    x,y = np.random.uniform(0, 1, 2)\n",
    "    alpha = np.random.uniform(0.25, .75)\n",
    "    plt.text(x, y, eq, ha='center', va='center', color=\"#11557c\", alpha=alpha,\n",
    "         transform=plt.gca().transAxes, fontsize=size, clip_on=True)\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "**快速阅读**\n",
    "\n",
    "如果你想要快速看一下Scipy讲座以便了解生态系统，你可以直接跳到下一章：Scipy：高级科学计算。\n",
    "\n",
    "本章的剩余部分对理解其他的介绍部分不是必须的。但是，请确保在稍后回来完成这个章节。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.4.5 这本教程之外\n",
    "\n",
    "Matplotlib从大量的文档以及用户和开发者社区中收益匪浅。这里是一些有趣的链接： \n",
    "\n",
    "### 1.4.5.1 教程\n",
    "\n",
    "* [Pyplot教程](http://matplotlib.sourceforge.net/users/pyplot_tutorial.html)\n",
    "    * 介绍\n",
    "    * 控制line属性\n",
    "    * 处理多个图形和坐标轴\n",
    "    * 处理文本\n",
    "* [Image教程](http://matplotlib.sourceforge.net/users/image_tutorial.html)\n",
    "    * 开始命令\n",
    "    * 从Numpy数组中导入图像数据\n",
    "    * 将numpy数组绘制为图像\n",
    "* [Text教程](http://matplotlib.sourceforge.net/users/index_text.html)\n",
    "    * Text介绍\n",
    "    * 基本text命令\n",
    "    * Text属性和布局\n",
    "    * 写数学表达式\n",
    "    * 用LaTeX渲染文本\n",
    "    * 文本注释\n",
    "* [Artist教程](http://matplotlib.org/users/artists.html)\n",
    "    * 介绍\n",
    "    * 自定义你的对象\n",
    "    * 对象容器\n",
    "    * Figure容器\n",
    "    * Axes容器\n",
    "    * Axis容器\n",
    "    * 刻度容器\n",
    "* [Path教程](http://matplotlib.sourceforge.net/users/path_tutorial.html)\n",
    "    * 介绍\n",
    "    * Bézier例子\n",
    "    * 复合路径\n",
    "* [转换教程](http://matplotlib.sourceforge.net/users/transforms_tutorial.html)\n",
    "    * 介绍\n",
    "    * 数据坐标\n",
    "    * Axes坐标\n",
    "    * 混合转换\n",
    "    * 用offset转换来穿件一个阴影效果\n",
    "    * pipline转换\n",
    "    \n",
    "### 1.4.5.2 Matplotlib文档\n",
    "\n",
    "* [用户手册](http://matplotlib.sourceforge.net/users/index.html)\n",
    "* [常见问题](http://matplotlib.sourceforge.net/faq/index.html)\n",
    "    * 安装\n",
    "    * 使用\n",
    "    * 如何使用\n",
    "    * 故障排除\n",
    "    * 环境变量\n",
    "* [屏幕截图](http://matplotlib.sourceforge.net/users/screenshots.html)\n",
    "\n",
    "### 1.4.5.3 代码文档\n",
    "\n",
    "代码都有很好的文档，你可以在Python会话中用特定命令很快的访问："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "run_control": {
     "frozen": false,
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function plot in module matplotlib.pyplot:\n",
      "\n",
      "plot(*args, **kwargs)\n",
      "    Plot lines and/or markers to the\n",
      "    :class:`~matplotlib.axes.Axes`.  *args* is a variable length\n",
      "    argument, allowing for multiple *x*, *y* pairs with an\n",
      "    optional format string.  For example, each of the following is\n",
      "    legal::\n",
      "    \n",
      "        plot(x, y)        # plot x and y using default line style and color\n",
      "        plot(x, y, 'bo')  # plot x and y using blue circle markers\n",
      "        plot(y)           # plot y using x as index array 0..N-1\n",
      "        plot(y, 'r+')     # ditto, but with red plusses\n",
      "    \n",
      "    If *x* and/or *y* is 2-dimensional, then the corresponding columns\n",
      "    will be plotted.\n",
      "    \n",
      "    If used with labeled data, make sure that the color spec is not\n",
      "    included as an element in data, as otherwise the last case\n",
      "    ``plot(\"v\",\"r\", data={\"v\":..., \"r\":...)``\n",
      "    can be interpreted as the first case which would do ``plot(v, r)``\n",
      "    using the default line style and color.\n",
      "    \n",
      "    If not used with labeled data (i.e., without a data argument),\n",
      "    an arbitrary number of *x*, *y*, *fmt* groups can be specified, as in::\n",
      "    \n",
      "        a.plot(x1, y1, 'g^', x2, y2, 'g-')\n",
      "    \n",
      "    Return value is a list of lines that were added.\n",
      "    \n",
      "    By default, each line is assigned a different style specified by a\n",
      "    'style cycle'.  To change this behavior, you can edit the\n",
      "    axes.prop_cycle rcParam.\n",
      "    \n",
      "    The following format string characters are accepted to control\n",
      "    the line style or marker:\n",
      "    \n",
      "    ================    ===============================\n",
      "    character           description\n",
      "    ================    ===============================\n",
      "    ``'-'``             solid line style\n",
      "    ``'--'``            dashed line style\n",
      "    ``'-.'``            dash-dot line style\n",
      "    ``':'``             dotted line style\n",
      "    ``'.'``             point marker\n",
      "    ``','``             pixel marker\n",
      "    ``'o'``             circle marker\n",
      "    ``'v'``             triangle_down marker\n",
      "    ``'^'``             triangle_up marker\n",
      "    ``'<'``             triangle_left marker\n",
      "    ``'>'``             triangle_right marker\n",
      "    ``'1'``             tri_down marker\n",
      "    ``'2'``             tri_up marker\n",
      "    ``'3'``             tri_left marker\n",
      "    ``'4'``             tri_right marker\n",
      "    ``'s'``             square marker\n",
      "    ``'p'``             pentagon marker\n",
      "    ``'*'``             star marker\n",
      "    ``'h'``             hexagon1 marker\n",
      "    ``'H'``             hexagon2 marker\n",
      "    ``'+'``             plus marker\n",
      "    ``'x'``             x marker\n",
      "    ``'D'``             diamond marker\n",
      "    ``'d'``             thin_diamond marker\n",
      "    ``'|'``             vline marker\n",
      "    ``'_'``             hline marker\n",
      "    ================    ===============================\n",
      "    \n",
      "    \n",
      "    The following color abbreviations are supported:\n",
      "    \n",
      "    ==========  ========\n",
      "    character   color\n",
      "    ==========  ========\n",
      "    'b'         blue\n",
      "    'g'         green\n",
      "    'r'         red\n",
      "    'c'         cyan\n",
      "    'm'         magenta\n",
      "    'y'         yellow\n",
      "    'k'         black\n",
      "    'w'         white\n",
      "    ==========  ========\n",
      "    \n",
      "    In addition, you can specify colors in many weird and\n",
      "    wonderful ways, including full names (``'green'``), hex\n",
      "    strings (``'#008000'``), RGB or RGBA tuples (``(0,1,0,1)``) or\n",
      "    grayscale intensities as a string (``'0.8'``).  Of these, the\n",
      "    string specifications can be used in place of a ``fmt`` group,\n",
      "    but the tuple forms can be used only as ``kwargs``.\n",
      "    \n",
      "    Line styles and colors are combined in a single format string, as in\n",
      "    ``'bo'`` for blue circles.\n",
      "    \n",
      "    The *kwargs* can be used to set line properties (any property that has\n",
      "    a ``set_*`` method).  You can use this to set a line label (for auto\n",
      "    legends), linewidth, anitialising, marker face color, etc.  Here is an\n",
      "    example::\n",
      "    \n",
      "        plot([1,2,3], [1,2,3], 'go-', label='line 1', linewidth=2)\n",
      "        plot([1,2,3], [1,4,9], 'rs',  label='line 2')\n",
      "        axis([0, 4, 0, 10])\n",
      "        legend()\n",
      "    \n",
      "    If you make multiple lines with one plot command, the kwargs\n",
      "    apply to all those lines, e.g.::\n",
      "    \n",
      "        plot(x1, y1, x2, y2, antialiased=False)\n",
      "    \n",
      "    Neither line will be antialiased.\n",
      "    \n",
      "    You do not need to use format strings, which are just\n",
      "    abbreviations.  All of the line properties can be controlled\n",
      "    by keyword arguments.  For example, you can set the color,\n",
      "    marker, linestyle, and markercolor with::\n",
      "    \n",
      "        plot(x, y, color='green', linestyle='dashed', marker='o',\n",
      "             markerfacecolor='blue', markersize=12).\n",
      "    \n",
      "    See :class:`~matplotlib.lines.Line2D` for details.\n",
      "    \n",
      "    The kwargs are :class:`~matplotlib.lines.Line2D` properties:\n",
      "    \n",
      "      agg_filter: unknown\n",
      "      alpha: float (0.0 transparent through 1.0 opaque) \n",
      "      animated: [True | False] \n",
      "      antialiased or aa: [True | False] \n",
      "      axes: an :class:`~matplotlib.axes.Axes` instance \n",
      "      clip_box: a :class:`matplotlib.transforms.Bbox` instance \n",
      "      clip_on: [True | False] \n",
      "      clip_path: [ (:class:`~matplotlib.path.Path`, :class:`~matplotlib.transforms.Transform`) | :class:`~matplotlib.patches.Patch` | None ] \n",
      "      color or c: any matplotlib color \n",
      "      contains: a callable function \n",
      "      dash_capstyle: ['butt' | 'round' | 'projecting'] \n",
      "      dash_joinstyle: ['miter' | 'round' | 'bevel'] \n",
      "      dashes: sequence of on/off ink in points \n",
      "      drawstyle: ['default' | 'steps' | 'steps-pre' | 'steps-mid' | 'steps-post'] \n",
      "      figure: a :class:`matplotlib.figure.Figure` instance \n",
      "      fillstyle: ['full' | 'left' | 'right' | 'bottom' | 'top' | 'none'] \n",
      "      gid: an id string \n",
      "      label: string or anything printable with '%s' conversion. \n",
      "      linestyle or ls: ['solid' | 'dashed', 'dashdot', 'dotted' | (offset, on-off-dash-seq) | ``'-'`` | ``'--'`` | ``'-.'`` | ``':'`` | ``'None'`` | ``' '`` | ``''``]\n",
      "      linewidth or lw: float value in points \n",
      "      marker: :mod:`A valid marker style <matplotlib.markers>`\n",
      "      markeredgecolor or mec: any matplotlib color \n",
      "      markeredgewidth or mew: float value in points \n",
      "      markerfacecolor or mfc: any matplotlib color \n",
      "      markerfacecoloralt or mfcalt: any matplotlib color \n",
      "      markersize or ms: float \n",
      "      markevery: [None | int | length-2 tuple of int | slice | list/array of int | float | length-2 tuple of float]\n",
      "      path_effects: unknown\n",
      "      picker: float distance in points or callable pick function ``fn(artist, event)`` \n",
      "      pickradius: float distance in points \n",
      "      rasterized: [True | False | None] \n",
      "      sketch_params: unknown\n",
      "      snap: unknown\n",
      "      solid_capstyle: ['butt' | 'round' |  'projecting'] \n",
      "      solid_joinstyle: ['miter' | 'round' | 'bevel'] \n",
      "      transform: a :class:`matplotlib.transforms.Transform` instance \n",
      "      url: a url string \n",
      "      visible: [True | False] \n",
      "      xdata: 1D array \n",
      "      ydata: 1D array \n",
      "      zorder: any number \n",
      "    \n",
      "    kwargs *scalex* and *scaley*, if defined, are passed on to\n",
      "    :meth:`~matplotlib.axes.Axes.autoscale_view` to determine\n",
      "    whether the *x* and *y* axes are autoscaled; the default is\n",
      "    *True*.\n",
      "    \n",
      "    .. note::\n",
      "        In addition to the above described arguments, this function can take a\n",
      "        **data** keyword argument. If such a **data** argument is given, the\n",
      "        following arguments are replaced by **data[<arg>]**:\n",
      "    \n",
      "        * All arguments with the following names: 'x', 'y'.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "help(plt.plot)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4.5.4 画廊\n",
    "\n",
    "当你搜索如何提供一个特定图片时，[matplotlib画廊](http://matplotlib.sourceforge.net/gallery.html)也非常有用。每个例子都有源码。\n",
    "\n",
    "[这里](http://www.loria.fr/~rougier/coding/gallery/)有一个小的画廊。\n",
    "\n",
    "### 1.4.5.5 邮件列表\n",
    "\n",
    "最后，你可以在[用户邮件列表](https://lists.sourceforge.net/lists/listinfo/matplotlib-users)寻求帮助，而[开发者邮件列表](https://lists.sourceforge.net/lists/listinfo/matplotlib-devel)则更偏技术。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.4.6 快速参考\n",
    "\n",
    "这里是一组表格，显示了主要的属性和样式。\n",
    "\n",
    "### 1.4.6.1 Line属性\n",
    "\n",
    "<table border=\"1\" class=\"docutils\">\n",
    "<colgroup>\n",
    "<col width=\"20%\">\n",
    "<col width=\"30%\">\n",
    "<col width=\"50%\">\n",
    "</colgroup>\n",
    "<thead valign=\"bottom\">\n",
    "<tr class=\"row-odd\"><th class=\"head\">属性</th>\n",
    "<th class=\"head\">描述</th>\n",
    "<th class=\"head\">外观</th>\n",
    "</tr>\n",
    "</thead>\n",
    "<tbody valign=\"top\">\n",
    "<tr class=\"row-even\"><td>alpha (or a)</td>\n",
    "<td>alpha 0-1范围的透明度</td>\n",
    "<td><img alt=\"plot_alpha_1.png\" class=\"first last\" src=\"http://scipy-lectures.github.io/_images/plot_alpha_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "<tr class=\"row-odd\"><td>antialiased</td>\n",
    "<td>True or False - use antialised rendering</td>\n",
    "<td><img alt=\"plot_aliased_1.png\" class=\"first\" src=\"http://scipy-lectures.github.io/_images/plot_aliased_1.png\">\n",
    "<img alt=\"plot_antialiased_1.png\" class=\"last\" src=\"http://scipy-lectures.github.io/_images/plot_antialiased_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "<tr class=\"row-even\"><td>color (or c)</td>\n",
    "<td>matplotlib颜色参数</td>\n",
    "<td><img alt=\"plot_color_1.png\" class=\"first last\" src=\"http://scipy-lectures.github.io/_images/plot_color_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "<tr class=\"row-odd\"><td>linestyle (or ls)</td>\n",
    "<td>see <a class=\"reference internal\" href=\"#line-properties\">Line属性</a></td>\n",
    "<td>&nbsp;</td>\n",
    "</tr>\n",
    "<tr class=\"row-even\"><td>linewidth (or lw)</td>\n",
    "<td>浮点, 线宽度用小数表示</td>\n",
    "<td><img alt=\"plot_linewidth_1.png\" class=\"first last\" src=\"http://scipy-lectures.github.io/_images/plot_linewidth_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "<tr class=\"row-odd\"><td>solid_capstyle</td>\n",
    "<td>实线头的样式</td>\n",
    "<td><img alt=\"plot_solid_capstyle_1.png\" class=\"first last\" src=\"http://scipy-lectures.github.io/_images/plot_solid_capstyle_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "<tr class=\"row-even\"><td>solid_joinstyle</td>\n",
    "<td>实线的连接样式</td>\n",
    "<td><img alt=\"plot_solid_joinstyle_1.png\" class=\"first last\" src=\"http://scipy-lectures.github.io/_images/plot_solid_joinstyle_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "<tr class=\"row-odd\"><td>dash_capstyle</td>\n",
    "<td>虚线头的样式</td>\n",
    "<td><img alt=\"plot_dash_capstyle_1.png\" class=\"first last\" src=\"http://scipy-lectures.github.io/_images/plot_dash_capstyle_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "<tr class=\"row-even\"><td>dash_joinstyle</td>\n",
    "<td>虚线的连接样式</td>\n",
    "<td><img alt=\"plot_dash_joinstyle_1.png\" class=\"first last\" src=\"http://scipy-lectures.github.io/_images/plot_dash_joinstyle_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "<tr class=\"row-odd\"><td>marker</td>\n",
    "<td>see <a class=\"reference internal\" href=\"#markers\">标记</a></td>\n",
    "<td>&nbsp;</td>\n",
    "</tr>\n",
    "<tr class=\"row-even\"><td>markeredgewidth (mew)</td>\n",
    "<td>标记符号的线宽度</td>\n",
    "<td><img alt=\"plot_mew_1.png\" class=\"first last\" src=\"http://scipy-lectures.github.io/_images/plot_mew_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "<tr class=\"row-odd\"><td>markeredgecolor (mec)</td>\n",
    "<td>标记边缘的颜色</td>\n",
    "<td><img alt=\"plot_mec_1.png\" class=\"first last\" src=\"http://scipy-lectures.github.io/_images/plot_mec_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "<tr class=\"row-even\"><td>markerfacecolor (mfc)</td>\n",
    "<td>标记的填充颜色</td>\n",
    "<td><img alt=\"plot_mfc_1.png\" class=\"first last\" src=\"http://scipy-lectures.github.io/_images/plot_mfc_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "<tr class=\"row-odd\"><td>markersize (ms)</td>\n",
    "<td>标记的大小，以小数表示</td>\n",
    "<td><img alt=\"plot_ms_1.png\" class=\"first last\" src=\"http://scipy-lectures.github.io/_images/plot_ms_1.png\">\n",
    "</td>\n",
    "</tr>\n",
    "</tbody>\n",
    "</table>\n",
    "\n",
    "### 1.4.6.2 线样式\n",
    "![plot_linestyles_1.png](http://scipy-lectures.github.io/_images/plot_linestyles_1.png)\n",
    "\n",
    "### 1.4.6.3 标记\n",
    "![plot_markers_1.png](http://scipy-lectures.github.io/_images/plot_markers_1.png)\n",
    "\n",
    "### 1.4.6.4 Colormaps\n",
    "\n",
    "所有colormap都可以通过添加`_r`来进行颜色反转。例如`gray_r`是`gray`的补色。\n",
    "\n",
    "如果你想要更多了解colormaps，检查一下[matplotlib colormaps的文档](https://gist.github.com/2719900)\n",
    "\n",
    "![plot_colormaps_1.png](http://scipy-lectures.github.io/_images/plot_colormaps_1.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.4.7 全部样例代码\n",
    "\n",
    "### [1.4.7.1. Code samples for Matplotlib](http://www.scipy-lectures.org/intro/matplotlib/auto_examples/index.html)\n",
    "### [1.4.7.2. Code for the chapter’s exercices](http://www.scipy-lectures.org/intro/matplotlib/auto_examples/index.html#code-for-the-chapter-s-exercices)\n",
    "### [1.4.7.3. Example demoing choices for an option](http://www.scipy-lectures.org/intro/matplotlib/auto_examples/index.html#example-demoing-choices-for-an-option)\n",
    "### [1.4.7.4. Code generating the summary figures with a title](http://www.scipy-lectures.org/intro/matplotlib/auto_examples/index.html#code-generating-the-summary-figures-with-a-title)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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    "collapsed": true
   },
   "outputs": [],
   "source": []
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